Question

X-7=-2 a value of x that makes this equation true is _ which when subsitutied into the equation and simplified makes the equation turn into _=_ a value of x that makes the equation false is _ which when subsituted into the equation and simplified makes the equation turn into _=_

Answer 1

To solve the equation \( X - 7 = -2 \):

1. **Find the value of \( X \) that makes the equation true:**

\[
X - 7 = -2
\]

To find \( X \), we add 7 to both sides:

\[
X = -2 + 7
\]

\[
X = 5
\]

So, a value of \( X \) that makes this equation true is \( 5 \).

Substituting \( X = 5 \) into the equation:

\[
5 - 7 = -2
\]

Simplifying this gives:

\[
-2 = -2
\]

So, this shows the equation holds true.

2. **Find a value of \( X \) that makes the equation false:**

Let's pick a value that is different from the solution we found. For instance, let's choose \( X = 0 \).

Substituting \( X = 0 \) into the original equation:

\[
0 - 7 = -2
\]

Simplifying this gives:

\[
-7 = -2
\]

This is not true (as \(-7 \neq -2\)). So, a value of \( X \) that makes the equation false is \( 0 \).

3. **Final statements:**

- A value of \( X \) that makes this equation true is **5**, which when substituted into the equation and simplified makes the equation turn into **-2 = -2**.
- A value of \( X \) that makes the equation false is **0**, which when substituted into the equation and simplified makes the equation turn into **-7 = -2**.